Calculus: Single Variable Part 1 - Functions
- 4.7
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Description
Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach.
Outline
- Introduction
- Introduction
- Welcome
- Your Guide to Getting Started in this Course
- Diagnostic Exam
- A Review of Functions
- Functions
- Exponentials
- BONUS!
- How Grading Works
- Core Homework: Functions
- Challenge Homework: Functions
- Core Homework: The Exponential
- Challenge Homework: The Exponential
- Taylor Series
- Taylor Series
- Computing Taylor Series
- Convergence
- BONUS!
- Expansion Points
- Core Homework: Taylor Series
- Challenge Homework: Taylor Series
- Core Homework: Computing Taylor Series
- Challenge Homework: Computing Taylor Series
- Core Homework: Convergence
- Challenge Homework: Convergence
- Core Homework: Expansion Points
- Challenge Homework: Expansion Points
- Limits and Asymptotics
- Limits
- l'Hôpital's Rule
- Orders of Growth
- BONUS!
- About the Chapter 1 Exam
- Core Homework: Limits
- Challenge Homework: Limits
- Core Homework: l'Hôpital's Rule
- Challenge Homework: l'Hôpital's Rule
- Core Homework: Orders of Growth
- Challenge Homework: Orders of Growth
- Chapter 1: Functions - Exam
Summary of User Reviews
Discover the world of single-variable calculus with this must-take course on Coursera. Students rave about the quality of the lectures and the comprehensive nature of the content. Many users found the interactive quizzes and assignments particularly helpful in solidifying their understanding of the material.Key Aspect Users Liked About This Course
The quality of the lectures and the comprehensive nature of the content.Pros from User Reviews
- Interactive quizzes and assignments help solidify understanding
- Engaging and knowledgeable instructor
- Clear explanations and examples
- Great foundation for further math studies
- Flexible pacing allows for self-paced learning
Cons from User Reviews
- Some users found the course material challenging
- Limited interaction with other students
- Not all topics are covered in depth
- Some technical issues with the online platform
- Not suitable for absolute beginners in math
Robert Ghrist
4.7 Raiting
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